Question

Sage hiked from the start of the trail to look out point. she then hiked back to giant boulder to camp for the night. what was the total distance, in miles, that sage hiked? pinecone trail nature center 1 1/2 miles giant boulder 4 1/4 mileslookout point 8 3/4 milesa) 21 3/4b) 13 1/4c) 4 1/2d) 4 1/4

Answer 1

Option b -
`13(1)/(4)\text{ miles }`

Explanation:

Given : Sage hiked from the start of the trail to look out point. she then hiked back to giant boulder to camp for the night.

To find : What was the total distance, in miles, that sage hiked?

Solution :

The distance of Pinecone Trail

Nature center =
`1(1)/(2)=(3)/(2)`

Giant Boulder=
`4(1)/(4)=(17)/(4)`

Look out point =
`8(3)/(4)=(35)/(4)`

Now, According to question

Sage hiked from the start of the trail to look out point.

Distance covered is
`(35)/(4)\text{ miles }`

She then hiked back to giant boulder to camp for the night.

The distance she traveled extra is

`(35)/(4)- (17)/(4)=(18)/(4)=(9)/(2)\text{ miles }`

The total distance traveled by Sage is

`(35)/(4)\text{ miles }+(9)/(2)\text{ miles }=(35+18)/(2)=(53)/(4)=13(1)/(4)\text{ miles }`

Therefore, Option b is correct.

The distance traveled by Sage is
`13(1)/(4)\text{ miles }`

Answer 2

Distance from start to look out point is calculated below
d1 = 8 3/4 miles - 0 miles = 8 3/4
Distance from look out point to giant boulder is,
d2 = 8 3/4 miles - 4 1/4 miles = 9/2 miles = 4.5 miles
Thus, the answer is equal to 4 1/2 miles. The answer is letter C.